It looks like that permanent magnet it's hovering over is a simple dipole magnet, rather than an array. A diamagnet would be unstable in that position. Look at any video of floating graphite and you'll see it hovering on top of a 2x2 array of magnets.
Of course, you could fake it for a video by buying a special disc magnet with a multipolar magnetization pattern, but magnets like that are pretty hard to find.